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Finding the Fourth Proportional to 4,878.82, 7,322.40 and 1,959.22

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Solution

The fourth proportional to 4,878.82, 7,322.40 and 1,959.22 is: 2,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.82 : 7,322.40 = 1,959.22 : x
  2. Step 2: Convert to fraction form
    4,878.82/7,322.40 = 1,959.22/x
  3. Step 3: Cross multiply
    4,878.82x = 7,322.40 × 1,959.22
  4. Step 4: Simplify right side
    4,878.82x = 14,346,192.53
  5. Step 5: Solve for x
    x = 14,346,192.53/4,878.82
  6. Step 6: Final answer
    x = 2,940.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.